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Finding the Third Proportional to 768,465 and 1,669,824

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Solution

The third proportional to 768,465 and 1,669,824 is: 3,628,417.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,465 : 1,669,824 = 1,669,824 : x
  2. Step 2: Convert to fraction form
    768,465/1,669,824 = 1,669,824/x
  3. Step 3: Cross multiply
    768,465x = 1,669,824 × 1,669,824
  4. Step 4: Simplify right side
    768,465x = 2,788,312,190,976
  5. Step 5: Solve for x
    x = 2,788,312,190,976/768,465
  6. Step 6: Final answer
    x = 3,628,417.94

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.